38747395200 has 384 divisors, whose sum is σ = 130988759040. Its totient is φ = 10063872000.

The previous prime is 38747395187. The next prime is 38747395201. The reversal of 38747395200 is 259374783.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38747395200.

It is not an unprimeable number, because it can be changed into a prime (38747395201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74370940 + ... + 74371460.

It is an arithmetic number, because the mean of its divisors is an integer number (341116560).

Almost surely, 2^38747395200 is an apocalyptic number.

38747395200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38747395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65494379520).

38747395200 is an abundant number, since it is smaller than the sum of its proper divisors (92241363840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38747395200 is a wasteful number, since it uses less digits than its factorization.

38747395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 38747395200 in words is "thirty-eight billion, seven hundred forty-seven million, three hundred ninety-five thousand, two hundred".